Boundary layer flow of Oldroyd-B fluid by exponentially stretching sheet |
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Authors: | T Hayat M Imtiaz A Alsaedi |
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Institution: | 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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Abstract: | The present paper investigates the steady flow of an Oldroyd-B fluid. The fluid flow is induced by an exponentially stretched surface. Suitable transformations reduce a system of nonlinear partial differential equations to a system of ordinary differential equations. Convergence of series solution is discussed explicitly by a homotopy analysis method (HAM). Velocity, temperature and heat transfer rates are examined for different involved parameters through graphs. It is revealed that for a larger retardation time constant, the velocity is enhanced and the temperature is lowered. It is noted that relaxation time constant and the Prandtl number enhance the heat transfer rate. |
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Keywords: | homotopy analysis method (HAM) Oldroyd-B fluid exponentially stretching sheet |
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